simultaneous linear equation 2x+y=4 3x-y=2

Answers

Answer 1

Answer:

[tex]2x + y = 4 \\ 3x - y = 2 \\ y = 4 - 2x \\ 3x - (4 - 2x) = 2 \\ 3x - 4 + 2x = 2 \\ 3x + 2x = 2 + 4 \\ 5x = 6 \\ x = \frac{6}{5} \\ x = 1.2 \\ y = 4 - 2x \\ y = 4 - 2(1.2) \\ y = 4 - 2.4 \\ y = 1.6 \\ [/tex]

Step-by-step explanation:

Hope that this is helpful.

Have a great day.


Related Questions

Mr. Williams told his class that the perimeter of the pentagon below was 15x+25. He asked the class "what is the value of x"? Roman said, " it could be any number!" Do you agree with Roman? Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, because the value of x is not constant

Yes the value of x can be any number because it is a variable. A variable can hold any value.

x can even equal hotdogs

Someone plz help me :(

Answers

Answer:

D

Step-by-step explanation:

What is -0.17r+0.91+r

Answers

Answer:

0.83r + 0.91

Step-by-step explanation:

-0.17r + 0.91 + r

Combine like terms (so, that would be r)

0.83r + 0.91

good afternoon everyone

Evaluate the expression for b = –14.

b + 4 =

Answers

Answer: [b + 4 = -10]

Step-by-step explanation: We are given the equation b = -14 and told to, given this information, evaluate b + 4 = ? and find ?. Given b = -14 we can plug in -14 for b in b + 4 = ?. This gives us -14 + 4 = ?. Adding this up gives us the answer of -10. Hope that this makes sense and helps, and good afternoon to you!

-Show work-

[tex]b=-14\\(b)+4=?[/tex]

[tex](-14)+4=?[/tex]

[tex]10 = ?\\?=10[/tex]

equations and inequalities!
solve for w
11=253-w

Answers

Answer:

w = 242

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex]11=-w + 253[/tex] [tex]-w + 253 = 11[/tex]

Step 2: Subtract 253 from both sides.

[tex]-w + 253 - 253 = 11 - 253[/tex] [tex]-w = -242[/tex]

Step 3: Divide both sides by -1.

[tex]\frac{-w}{-1}=\frac{-242}{-1}[/tex] [tex]w = 242[/tex]

Step 4: Check if solution is correct.

[tex]11 = 253 - (242)[/tex] [tex]11 = 253 - 242[/tex] [tex]11 = 11[/tex]

Therefore, w = 242.

Have a lovely rest of your day/night.

(3x^2)^2/3

Will give 50 points

Answers

Answer:

4.26

Step-by-step explanation:

3^2= 9

2/3= .66

9^.66

[tex]\\ \rm\Rrightarrow (3x^2)^{2/3}[/tex]

[tex]\\ \rm\Rrightarrow 3x^{2\times 2/3}[/tex]

[tex]\\ \rm\Rrightarrow (3x)^{4/3}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{3^2x^4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{9x^4}[/tex]

Which expression is equivalent to -a + 6 - 9a + 10?

Answers

Answer:

10a+16...hope this helps!

Step-by-step explanation:

Point P is on line segment \overline{OQ}
OQ

. Given OP=x-3,OP=x−3, PQ=1,PQ=1, and OQ=3x-10,OQ=3x−10, determine the numerical length of \overline{OP}.
OP
.

Answers

Answer:

Segment OP = 1

Step-by-step explanation:

Segment OQ = Segment OP + Segment PQ

        3x - 10 = (x - 3) + 1

        3x - 10 = x - 2            Solve for x

           2x - 10 = -2              

            2x = 8

            x = 4

Segment OP = x - 3  so 4 - 3 = 1

Check:   3x -10 = (x - 3) + 1 ;  3 · 4 -10 = (4 - 3) + 1 ; 2 = 2  

May I please receive help?

Answers

line 1

3y = 4x + 5

y = 4/3x + 5/3

line 2

8x + 6y = -4

6y = -8x -4

y = -8/6x -4/6

y = -4/3x - 2/3

line 3

y = 3/4x + 6

since line 1 and 2 have different slopes, they are neither

since line 1 and 3 have different slopes, they are neither

since line 2 and 3 have the opposite slopes, they are perpendicular

90% as a decimal simplified

Answers

Answer:

0.9

Step-by-step explanation:

Answer:

The answer is 0.9

Step-by-step explanation:

90% = 0.9 in decimal form.

90 ÷ 100 = 0.9%

4. The curve C, has equation y
on where a is a positive constant. The curve C, has
equation y
(x - b), where b is a positive constant.
a) Sketch C, and C, on the same set of axes. Label any points where either curve meets the
coordinate axes, giving your coordinates in terms of a and b.
(4)
b) Using your sketch, state the number of real solutions to the equation x(x – 5)=- 7.
(1)

Answers

Answer:

find your Answer in this link below www.soloplay

Can someone plss help me with this!!!

Answers

Answer:

The Aleutian Islands are a convergent boundary.

The Mid-Atlantic Ridge is a divergent boundary.

The San Andreas Fault is a transform boundary.

Step-by-step explanation:

Jake had 40 goats. 15 goats were sold at the market. What fraction of the goats did Jake sell?​

Answers

Answer:

15/40

Step-by-step explanation:

goats sold over total goats

Answer:

37.5% was sold

A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. 65% of the students have never taken a statistics class, 15% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics. Round your answers to three decimal places.
a. What is the probability that the first groupmate you meet has studied at least two semesters of statistics?
b. What is the probability that the first groupmate you meet has studied some statistics?
c. What is the probability that neither of your two groupmates has studied any statistics?
d. What is the probability that your two groupmates have studied at least one semester of statistics?
e. What is the probability that at least one of your two groupmates has studied more than one semester of statistics?

Answers

Answer:

Step-by-step explanation:

a;23

b;23

c97

d18

e29

rationalise the denominator of

[tex] \frac{ 1}{5 - \sqrt{2} } [/tex]
giving answer in the simplest form​

Answers

[tex]\Huge \boxed{\mathfrak {ANSWER }}[/tex]

[tex]\large \boldsymbol {} \displaystyle \frac{1}{5-\sqrt{2} } \cdot \frac{5+\sqrt{2} }{5+\sqrt{2} } =\frac{5+\sqrt{2} }{(5)^2-(\sqrt{2)}^2 } =\boxed{\frac{5+\sqrt{2} }{23} }[/tex]

Consider the following expression. +9x+5y+26y Select all of the true statements below

Answers

Answer:

9x + 31y

Step-by-step explanation:

9x + 31y is the most simplified version of your expression! I believe your question is missing some information but I would love to help in any way I can. Here is how I simplified +9x + 5y + 26y into its simplest form.

Step 1: Add like terms (Add the numbers together with the same terms)

9x + ( 5y + 26y)

Step 2: After adding like terms, you'll be left with 9x + 31y

9x + 31y

Answer:

9x + 31y

Step-by-step explanation:

9x + 31y is the most simplified version of your expression! I believe your question is missing some information but I would love to help in any way I can. Here is how I simplified +9x + 5y + 26y into its simplest form.

Step 1: Add like terms (Add the numbers together with the same terms)

9x + ( 5y + 26y)

Step 2: After adding like terms, you'll be left with 9x + 31y

9x + 31y

Help plz stuck on this question

Answers

Answer:

It is 54 degrees

Step-by-step explanation:

Since x is corresponding to the angle below 126, that means that 126 and x are supplementery. So 180-126=54

Hope this helps!

hiiiiiii CAN U HELP ME PLS ILL GIVE BRAINLIEST 5 STARS AND A THANKS I HAD A ROUGH DAY AND MY BRAIN WONT WORK :C SORRY THERES NOT A LOT OF POINTS

Answers

Answer:

rate of change= x= 4 y= 20

slope= rise/run= change in y values/change in x values

slope= 20/4

i believe this is right, i could be wrong, i haven't done it in a long time.

C is the midpoint of BD. If BC = x + 7 and CD = 8x, what is CD?

Answers

Given :-

C is the midpoint of BD . BC = x + 7 CD = 8x

To Find :-

Value of BD ( correct )

Answer :-

As C is the midpoint , we can say that the line is BCD . So that ,

BC + CD = BD

Substitute the values ,

( x+7 ) + 8x = BD BD = x + 8x + 7 BD = 9x + 7 .

Hence the value of BD is 9x + 7 .

PLS HELP ON TIME LIMIT WILL MARK BRAINILEST

Answers

Answer:

Angles 2, 3, 4, and 5

Step-by-step explanation:

-  angle 5 is a vertical angle to the given angle

-  angle 4 is an alternate interior angle to the given angle

-  angle 3 is a corresponding angle to the given angle

-  angle 2 is a consecutive interior angle to the given angle

hope this helps!

Could someone help me?
What criterion statement accurately proves that ∆ABC is congruent to ∆DEF?
A-SSS criterion
B-AAS criterion
C-ASA criterion
D-SAS criterion

Answers

Answer: Choice C)  ASA

Explanation:

The angles marked with a single arc pair up and are congruent (angles ACB and DFE). This forms one "A" of "ASA". The other "A" refers to the angles BAC and EDF as shown by the double arcs.

The "S" refers to the pair of congruent sides between the angles mentioned. Specifically, the diagram shows that AC = FD based on the tickmarks on those segments.

roy gets 10% extra time in school exams. If Roy gets 1 hour 33 minutes and 30 seconds to complete his maths exam, how long do most students get.

Answers

Answer:

1 Hour 25 Minutes

The time that most of the students get is 1 hour and 25 minutes, computed using fractions and percentages.

What are fractions?

Fractions are a relational representation of certain parts of a quantity, to the total parts of that quantity.

Written as a/b, read as "a by b", functions as a divided by b, represents a fraction a over b, where a is the numerator and b is the denominator.

What are percentages?

Percentages are a fractional representation of a quantity, where the whole quantity is fixed to be 100.

Fractions are converted to percentages by multiplying them by 100, while percentages are converted to fractions by dividing them by 100.

How to solve the question?

In the question, we are informed that Roy gets 10% extra time in school exams.

We are asked for the time that is given to most of the students if Roy gets 1 hour 33 minutes and 30 seconds.

For standardization, we work in seconds.

We assume the required time to be x seconds.

Time given to Roy:

30 seconds implies 30 seconds,

33 minutes implies 33*60 = 1980 seconds,

1 hour implies 1*60*60 = 3600 seconds.

Thus, the total time given to Roy = 30 + 1980 + 3600 = 5610 seconds.

We are informed that Roy gets 10% extra time in school exams.

Thus, the time given to Roy = Normal time + 10% of normal time,

or, 5610 = x + 10% of x,

or, 5610 = x + 10/100 of x {percentages are converted to fractions by dividing them by 100},

or, 5610 = x + x/10,

or, 5610 = 11x/10,

or, x = 5610*10/11 = 5100.

Thus, the time given to most of the students = 5100 seconds = 5100/60 minutes = 85 minutes = 1 hour and 25 minutes.

Thus, the time that most of the students get is 1 hour and 25 minutes, computed using fractions and percentages.

Learn more about fractions and percentages at

https://brainly.com/question/317717

#SPJ2

X/4+1=9
What would x be

Answers

Answer:

X=45

Step-by-step explanation:

X/4+1=9

X/5=9

X=9×5

X=45

:)

Answer:

x/4 =9-1

x/4=8

x=8*4

x=32

WILL MARK BRAINLIEST NEED ANSWER ASSP NO LINKS
can earn 5 coins At the beginning of the fall, the water level of a lake is 14 feet below normal level. After a drought, the lake's water level dropped 19 feet. Where is the lake's current water level in relation to its normal water level?​

Answers

ANSWER:

38

_______________

hope it helps you

can you brainlest me

Someone pls help me with this question!!! I will mark the best answer brainliest!!

Answers

Answer:

Star and square

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The origin is the center of the 2 bold lines. As you can see, the square is 1 unit  right and then 2 units up. The star is 2 units left and 1 unit up. And the triangle is 2 units down and 2 units left.

square: 1 then 2

star: 2 then 1

triangle: 2 then 2.

From this you can see that the square and the star are the same distance from the origin.

So the answer is B.

Solve for x. Show each step of the solution.

4.5(8 −)+ 37 = 103 − 2.5(3 + 24)



PLEASE HELP!!!!!

Answers

Answer:

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

PLZ HELP!!!!!!!


Identify two angles that are marked congruent to each other on the diagram below. plz answer quickly!!!!!

Answers

the angles are p and o

please help me Simplify 6^5 x 6^2

Answers

The simplest form of  6⁵ x 6² is 6⁷    

Exponents:

The way of representing huge numbers in terms of powers is known as an exponent. The exponent of a number is the number of times a number has been multiplied by itself.  

For example, 3 is multiplied by 4 times itself, i.e. 3 × 3 × 3 × 3. This can be represented as 3⁴. Where 3 is the base and 4 is the exponent.

The following are the some of formulas in exponents

=> aᵇ. aˣ = aᵇ⁺ˣ=> (ab)ˣ = aˣ bˣ=> (a/b)ˣ = aˣ/bˣ

Here we have

The expression 6⁵ x 6²  

We can simplify the given equation by using exponent formulas

As we know, aᵇ × aˣ = aᵇ⁺ˣ

=> 6⁵ x 6² = 6⁵⁺² = 6⁷    

Therefore,

The simplest form of  6⁵ x 6² is 6⁷    

Learn more about Exponents at

https://brainly.com/question/29390053  

#SPJ1

Find product of (5 x 10⁶) and (5 x 10⁷) ? Write your final answer in scientific notation.

Answers

Answer:

[tex](5 x 10⁶)× (5 x 10⁷) [/tex]

[tex]5000000×50,000,000[/tex]

[tex]25000000000000[/tex]

Step-by-step explanation:

Thanks!!!!!!

Answer:

2.5 * 10^14

Step-by-step explanation:

(5 x 10⁶) *  (5 x 10⁷)

= (5 * 1000000) * (5*10000000)   Step 1

tip : When multiplying tens with exponents, consider adding zeros according to the exponent the 10 is raised to. For example, 10⁶ would be 1000000 (six zeros)

= (5000000) * (50000000)  Step 2

= 250000000000000. Step 3

= 2.5 * 10^14    Step 4  move your decimal point to the left (14 times) until you you condense your value into a smaller decimal (2.5)

A grocery store sells a bag of 8 oranges for $4.32. If Colton spent $5.40 on oranges, how many did he but

Answers

is the 8 oranges 4.32 a piece?

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